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49676644667694 = 231159181122957349
BaseRepresentation
bin10110100101110001111101…
…10000100101000100101110
320111220001002210001102112010
423102320332300211010232
523002400232013331234
6253353045134222050
713315006364432562
oct1322707660450456
9214801083042463
1049676644667694
1114912823935a70
1256a37bb954926
132194645032c15
14c3a51071d6a2
155b230bda26e9
hex2d2e3ec2512e

49676644667694 has 128 divisors (see below), whose sum is σ = 110923525440000. Its totient is φ = 14704394227200.

The previous prime is 49676644667633. The next prime is 49676644667717.

49676644667694 is nontrivially palindromic in base 10.

49676644667694 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 866187732 + ... + 866245080.

It is an arithmetic number, because the mean of its divisors is an integer number (866590042500).

Almost surely, 249676644667694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49676644667694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55461762720000).

49676644667694 is an abundant number, since it is smaller than the sum of its proper divisors (61246880772306).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49676644667694 is a wasteful number, since it uses less digits than its factorization.

49676644667694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58834.

The product of its digits is 47405481984, while the sum is 84.

The spelling of 49676644667694 in words is "forty-nine trillion, six hundred seventy-six billion, six hundred forty-four million, six hundred sixty-seven thousand, six hundred ninety-four".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 181 354 362 543 649 1086 1229 1298 1947 1991 2458 3687 3894 3982 5973 7374 10679 11946 13519 21358 27038 32037 40557 57349 64074 72511 81114 114698 117469 145022 172047 217533 222449 234938 344094 352407 435066 444898 630839 667347 704814 797621 1261678 1334694 1595242 1892517 2392863 2446939 3383591 3785034 4785726 4893878 6767182 7340817 10150773 10380169 13124491 14681634 20301546 20760338 26248982 31140507 37219501 39373473 62281014 70481921 74439002 78746946 111658503 114181859 140963842 144369401 211445763 223317006 228363718 288738802 342545577 422891526 433108203 612429971 685091154 775301131 866216406 1224859942 1550602262 1837289913 2325903393 3674579826 4158433339 4651806786 6736729681 8316866678 12475300017 12757227701 13473459362 20210189043 24950600034 25514455402 38271683103 40420378086 45742766729 76543366206 91485533458 137228300187 140329504711 274456600374 280659009422 420988514133 752676434359 841977028266 1505352868718 2258029303077 4516058606154 8279440777949 16558881555898 24838322333847 49676644667694